Extreme value theorem - Study guides, Class notes & Summaries

Intro to Statistics Final Exam | Latest Update | 2024/2025 | Graded A+ What is the main purpose of hypothesis testing in statistics? To determine if there is enough evidence to reject a null hypothesis in favor of an alternative hypothesis. How does the concept of p-value help in making decisions about hypotheses? The p-value indicates the probability of obtaining test results at least as extreme as the ones observed, assuming the null hypothesis is true. Explain the differen...

BESC 3010 Exam 1 Questions and Answers | Latest Version | 2024/2025 | Rated A+ How can data be transformed to meet the assumptions of a statistical test? Data can be transformed through methods such as logarithmic, square root, or inverse transformations to stabilize variance or achieve normality for analysis. What is the importance of random sampling in research? Random sampling ensures that every individual in a population has an equal chance of being selected, minimizing bias an...

BESC 3010 Chpt 9 Questions and Answers | Latest Version | 2024/2025 | Rated A+ What is the central limit theorem, and why is it important in statistics? The central limit theorem states that the distribution of sample means will approximate a normal distribution as sample size increases, regardless of the population’s distribution. This is essential because it allows statisticians to make inferences about population parameters using sample data. Explain the concept of p-value and...

limit of one/both functions are DNE - ANS evaluate the limit from the left and the right hand of the approaching value values match = limit exists squeeze theorem - ANS f(x) < h(x) < g(x) limit of f(x) = limit of g(x) = # by squeeze theorem limit of h(x) = # removeable discontinuity - ANS limit does not equal the point jump discontinuity - ANS limit from the left does not equal the limit from the right infinite discontinuity - ANS li...

Squeeze Theorem - ANSWERIf h(x) ≤ ƒ(x) ≤ g(x) for all x in an open interval containing c, except possibly at c itself, and lim x→c h(x) = lim x→c g(x) = L, then lim x→c ƒ(x) exists and equals L. Continuity - ANSWERA function ƒ is continuous at c if: a. ƒ(c) is defined b. lim x→c ƒ(x) exists c. lim x→c ƒ(x) = ƒ(c) Intermediate Value Theorem - ANSWERIf ƒ is continuous on an interval [a,b] and k is any number between ƒ(a) and ƒ(b), there is at least one number c in ...

Unit 5 AP Calculus BC Vocabulary Test with Answers If a function is continuous on [a, b], then the function must obtain an absolute min and absolute max on [a, b]. - Answer>> Extreme Value Theorem

What is p-value? - correct answers A p-value is the probability of observing a test statistic at least as extreme as the one observed assuming the null hypothesis is true. State the Central Limit Theorem in words. - correct answers For a sufficiently large sample size, the distribution of the sample mean will be approximately normal Why do we consider an unobserved sample mean to be a random variable? - correct answers Not yet observed sample means are considered random because different s...

Limit Definition of Derivative Mean Value Theorem If f(x) is defined and continuous on [a,b] and differentiable on (a,b) then there is at least one point where f'(c) = f(b)-f(a)/b-a A function is continuous at a point x=a if: a) f(a) is defined b) Limit as x approaches a of f(x) c) Limit as x approaches a of f(x) is equal to f(a) Fundamental Theorem of Calculus (P1) If f is continuous on [a,b] F(x) = ∫f(x) and both are continuous on [a,b] F(x) is differentiable on ...

MIS 301 Exam 2 SDSU Question and answers verified to pass 2024 law of large number - correct answer if you take samples of a larger size from a population, then the mean of the sampling distribution tends to get closer to the true population mean central limit theorem - correct answer the larger the samples size you take from a population, the closer the sample mean gets to the actual population mean central limit theorem result - correct answer it does not matter what the distrib...

Function - correct answer A rule that assigns "x" exactly one element called f(x). Lines - correct answer y=mx+b m=(y2-y1)/(x2-x1) Polynomial - correct answer A monomial or a sum or difference of monomials Rational Function - correct answer a ratio of polynomials Power Function - correct answer y...